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In this lesson, we will learn how to identify a rhombus and learn about its properties.

Q1:

Given that π΄ π΅ πΆ π· is a rhombus with π β π· π΅ πΆ = 4 9 β , what is π β π· π΄ π΅ ?

Q2:

is a rhombus. If , find the value of .

Q3:

In a rhombus , and . Find the value of .

Q4:

Choose from the following statements the properties of a rhombus.

Q5:

If π΄ π΅ πΆ π· is a rhombus, which line is the perpendicular bisector of π΄ πΆ ?

Q6:

Are the opposite sides of a rhombus parallel?

Q7:

Do the two diagonals of a rectangle and a rhombus bisect each other?

Q8:

Determine whether this statement is true or false: All rhombuses are regular polygons.

Q9:

Which of the following statements is NOT true for ALL rhombuses?

Q10:

Determine the sizes of and in the rhombus .

Q11:

In the given rhombus π΄ π΅ πΆ π· , π· π΅ = 6 π₯ β 8 and π π΅ = 2 π₯ + 9 . Find the length of π π· .

Q12:

The figure shows rhombus π΄ π΅ πΆ π· . Find π β π΅ π΄ πΆ and the length of π΄ π· .

Q13:

In the given rhombus , . Find .

Q14:

π΄ π΅ πΆ π· is a quadrilateral. The coordinates of the points π΄ , π΅ , and πΆ are ( 1 , 2 ) , ( β 7 , 1 ) , and ( 0 , β 3 ) respectively. Find the coordinates of point π· if the figure is a rhombus.

Q15:

Determine the perimeter of the rhombus π΄ π΅ πΆ π· , given that the points π΄ and π΅ are ( β 5 , β 1 ) and ( β 4 , 4 ) .

Q16:

Given that the points π΄ ( β 3 , 3 ) , π΅ ( 2 , β 4 ) , πΆ ( 9 , β 9 ) , and π· ( 4 , β 2 ) are vertices of the rhombus π΄ π΅ πΆ π· , find the coordinates of the point of intersection of its two diagonals.

Q17:

The figure shows a rhombus. Given that π β π΄ π π» = 5 0 β , what are the measures of the angles at π΄ , π΅ , πΆ , and π· ?

Q18:

Is the following statement true or false? In a rhombus, all sides are equal in length.

Q19:

Are the sides of a rhombus equal in length?

Q20:

Are the two diagonals of a rhombus perpendicular?

Q21:

Determine whether the following sentence is true or false: A rhombus has only one pair of parallel sides.

Q22:

In the rhombus shown, determine π β π , π β π , π β π , and π β πΏ .

Q23:

Are the angles in a rhombus right angles?

Q24:

In which of these quadrilaterals are the diagonals perpendicular but not equal in length?

Q25:

A rhombus is a square if its are equal in length.

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